Reconstruction of mixed-phase signals from sum-of-autotriplecorrelations using least squares


Akgul T. , EL-JAROUDI A.

IEEE TRANSACTIONS ON SIGNAL PROCESSING, vol.46, no.1, pp.250-254, 1998 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Letter
  • Volume: 46 Issue: 1
  • Publication Date: 1998
  • Doi Number: 10.1109/78.651230
  • Title of Journal : IEEE TRANSACTIONS ON SIGNAL PROCESSING
  • Page Numbers: pp.250-254

Abstract

A least squares minimization technique for the reconstruction of a real, discrete-time signal from a sum-of-autotriplecorrelations (SOA) sequence is presented. Compared with other methods, our approach has many advantages, First, the reconstruction is based on simple one-dimensional (1-D), instead of two-dimensional (2-D), time-domain operations. Moreover, unlike some current methods, it is possible to perform the reconstruction even if the z transform of the signal has roots on the unit circle, We present the derivation of the approach and simulation results.